Why is a projective representation of hyberbolic geometry convex towards the sphere's center?

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Why is a projective representation of hyberbolic geometry convex towards the sphere's center?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I would help you but IDK
lol...i dont know
dude is this a legitimate concept? i doubt it.

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Yes. With hyperbolic geometries you want to project hemispheres to 2D for measurement, etc. Generally in physics you learn Minkowski space ( http://en.wikipedia.org/wiki/Minkowski_space ) but there are also conformal and hemispherical projections. Conformal is a plane orthogonal to the plane bisecting the sphere into northern and southern hemispheres. Hemispheric is a stereographic projection from the southern pole. A 3D "Euclidian" model of the sphere "squashing" the hyperbolic geometries has the hemispheric projection act as a convex "plate" directed towards the center of the sphere. My question is why.
well why didn't you ask this in physics?
Because this isn't physics, it's math.
Oh, whatever.
lol what math do they teach this in?

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